Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

DOI10.1007/978-1-84882-406-5zbMath1190.68071OpenAlexW1505728031MaRDI QIDQ3598201

Brian Wyvill, Callum Galbraith, Irina Voiculescu, Joaquim A. Jorge, A. J. Gomes

Publication date: 2 February 2009

Full work available at URL: https://doi.org/10.1007/978-1-84882-406-5

zbMATH Keywords

animationnumerical methodscomputer graphicscomputational methodsimplicit surfacesgeometric modellingimplicit curvesspatial data structures

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to computer science (68-02) Data structures (68P05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (12)

Implicit surface reconstruction with total variation regularization ⋮ Phase-field guided surface reconstruction based on implicit hierarchical B-splines ⋮ Tracing Isomanifolds in \(\mathbb{R}\) ^d in Time Polynomial in d using Coxeter–Freudenthal–Kuhn Triangulations ⋮ Efficient detailed design optimization of topology optimization concepts by using support vector machines and metamodels ⋮ An adaptive collocation method with weighted extended PHT-splines ⋮ Topology optimization based on deep representation learning (DRL) for compliance and stress-constrained design ⋮ Higher-order accurate meshing of nonsmooth implicitly defined surfaces and intersection curves ⋮ TAXATION OF A GMWB VARIABLE ANNUITY IN A STOCHASTIC INTEREST RATE MODEL ⋮ Computation of the signed distance function to a discrete contour on adapted triangulation ⋮ Numerical integration over implicitly defined domains with topological guarantee ⋮ A new approach for approximate implicitization of parametric curves ⋮ Creating Transformations for Matrix Obfuscation

Uses Software

• BLAS
• Qhull
• mctoolbox
• ISOLATE

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